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Simplifying 7(y + -3) + 3(y + 4) = 81 Reorder the terms: 7(-3 + y) + 3(y + 4) = 81 (-3 * 7 + y * 7) + 3(y + 4) = 81 (-21 + 7y) + 3(y + 4) = 81 Reorder the terms: -21 + 7y + 3(4 + y) = 81 -21 + 7y + (4 * 3 + y * 3) = 81 -21 + 7y + (12 + 3y) = 81 Reorder the terms: -21 + 12 + 7y + 3y = 81 Combine like terms: -21 + 12 = -9 -9 + 7y + 3y = 81 Combine like terms: 7y + 3y = 10y -9 + 10y = 81 Solving -9 + 10y = 81 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10y = 81 + 9 Combine like terms: -9 + 9 = 0 0 + 10y = 81 + 9 10y = 81 + 9 Combine like terms: 81 + 9 = 90 10y = 90 Divide each side by '10'. y = 9 Simplifying y = 9
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